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Transfer Matrices for Beams Loaded Axially and Laid on an Elastic Foundation

Published online by Cambridge University Press:  07 June 2016

B. A. Djodjo
B. A. Djodjo*
Affiliation:
Institute of Technology, Serbian Academy of Sciences and Arts, Belgrade
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Summary

Using a modified model of the axially-loaded Timoshenko beam, nine field transfer matrices for the homogeneous case and three field matrices for the non-homogeneous case have been derived, covering thus all the “cases of state” of continuous beams loaded axially and laid on an elastic foundation. The loads and restraints (translatory and rotatory) may be both concentrated and distributed. The matrices make possible a simultaneous treatment of free vibrations, forced vibrations, statics and buckling.

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 3 , August 1969 , pp. 281 - 306
Copyright
Copyright © Royal Aeronautical Society. 1969

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